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The interaction of stochastic elements with number content-methodological line of school course of Mathematics

Annotation

The inclusion of stochastic elements into the structure of school Mathematics has divided teachers and methodologists into two “camps”. Some believe that the elements of the stochastic need to be studied directly in Mathematics lessons, but within the individual topics of school textbooks and at the end of the school year. Others have positioned the inclusion of stochastic elements in the form of electives or elective courses, explaining that there is the grip of school time and within school curricula. In this regard the methodology of teaching Mathematics is no single approach to sequence learning stochastic concepts and no single methodology the introduction of these concepts. At this stage every author outlines their methodology, mostly based on the methodology of teaching of probability theory and mathematical statistics at the University. In this regard the stochastic elements stand apart from the substantial-methodical lines of the course of Mathematics, which gradually formed, developed and interacted between themselves. We have shown that to overcome the “alienation” of the stochastic elements from “traditional” school Mathematics is possible, if you include their study in every section of the program. Certain examples of interaction of elements of the stochastic numerical content and methodical line of a school course of Mathematics are considered. It is shown that the stochastic elements can not only be organically included in the structure of Mathematics, but also with its means to strengthen intra-subject connection.

Keywords

elements of stochastics; statistic data presentation; intra-subject communication of school course of Mathematics; coherent and integrative approach

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DOI

10.20310/1810-0201-2017-22-1(165)-71-77

UDC

519.2(075.3)

Pages

71-77

References

1. Bunimovich E.A., Bulychev V.A. Veroyatnost' i statistika. 5–9 kl. [Probability and Statistics. 5–9 Forms]. Moscow, Drofa Publ., 2002. (In Russian). 2. Tyurin Yu.N., Makarov A.A., Vysotskiy I.R., Yashchenko I.V. Teoriya veroyatnostey i statistika [Theory of Probability and Statistics]. Moscow, Moscow Centre of Continuous Mathematical Education: OJSC “Moskovskie uchebniki”, 2008. (In Russian). 3. Makarychev Yu.N., Mindyuk N.G. Algebra: elementy statistiki i teorii veroyatnostey [Algebra: Elements of Statistics and Theory of Probabilities]. Moscow, Prosveshchenie Publ., 2003. (In Russian). 4. Selyutin V.D. Problemy vnedreniya v shkolu stokhastiki v usloviyakh vkhozhdeniya Rossii v obshcheevropeyskoe obrazovatel'noe prostranstvo [Problems of including stochastic in schools in conditions of entering common-European teaching space by Russia]. Adıyaman Üniversitesi. 1. Uluslararası Bilimsel Proje Pazarı. Proje Özetleri Kitabı [Adıyaman University. 1st International Market of Scientific Projects. Book of Projects Abstracts]. Adıyaman, 2014, pp. 219-222. (In Russian). 5. Selyutin V.D. Filosofskie osnovaniya metodicheskoy podgotovki budushchego uchitelya matematiki k obucheniyu shkol'nikov stokhastike [Philosophical basics of methodological preparation of future mathematics teacher for stochastic teaching pupils]. Materialy 11 Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Lichnostnoe i professional'noe razvitie budushchego spetsialista» [Proceedings of 11th International Research and Practice Conference “Personal and Professional Development of Future Specialist”]. Tambov, TRPO “Business-Science-Society”, 2015, pp. 178-181. (In Russian). 6. Dalinger V.A. Vnutripredmetnye svyazi i ikh realizatsiya v protsesse obucheniya [Intrasubject connections and theirs realization in process of teaching]. Sistema mezhpredmetnykh svyazey po predmetam estestvenno-matematicheskogo tsikla [System of Intersubject Connections in Subjects of Natural and Mathematical Cicle]. Moscow, 1981, 164 p. (In Russian). 7. Terekhova L.A. Elementy stokhastiki kak sredstvo ukrepleniya vnutripredmetnykh svyazey shkol'nogo kursa matematiki. Avtoref. diss. kand. ped. nauk. Avtoref. diss. kand. ped. nauk [Elements of Stochastics as Mean of Strengthening Intrasubject Connections of School Course of Mathematics. Cand. ped. sci. diss. abstr.]. Oryol, 2008. (In Russian). 8. Aksenov A.A. Metodologicheskie osobennosti i spetsifika postroeniya teorii shkol'nykh matematicheskikh zadach [Some methodological peculiarities and specific features of the theory of school mathematical problems]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Sotsial'nye nauki – Vestnik of Lobachevsky State University of Nizhni Novgorod. Social Sciences, 2015, no. 2 (38), pp. 162-170. (In Russian). 9. Dalinger V.A. Metodika realizatsii vnutripredmetnykh svyazey pri obuchenii matematike [Methodics of Realization of Intrasubject Connections in Mathematics Teaching]. Moscow, Prosveshchenie Publ., 1991. (In Russian). 10. Selyutin V.D., Terekhova L.A. Stokhastika v kanve shkol'noy matematiki [Stochastic in Course of School Mathematics]. Oryol, 2007. (In Russian).

Received

2016-10-30

Section of issue

Theory and methods of mathematic teaching

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